On the nonlinear Volterra equation with conformable derivative

Yıl 2023, , 292 - 302, 23.07.2023

Tuan Nguyen Hoang Hai Nguyen Minh Nguyen Duc Phuong

https://doi.org/10.31197/atnaa.1281575

Öz

In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory.
First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero.

Anahtar Kelimeler

conformable differential equation, memory term, local existence, Banach fixed point theorem

Proje Numarası

This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number C2022-44-12.

Kaynakça

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